A goal programming method for obtaining interval weights from an interval comparison matrix

A goal programming method for obtaining interval weights from an interval comparison matrix

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Article ID: iaor20084681
Country: Netherlands
Volume: 177
Issue: 1
Start Page Number: 458
End Page Number: 471
Publication Date: Feb 2007
Journal: European Journal of Operational Research
Authors: ,
Keywords: analytic hierarchy process, decision theory: multiple criteria
Abstract:

Crisp comparison matrices lead to crisp weight vectors being generated. Accordingly, an interval comparison matrix should give an interval weight estimate. In this paper, a goal programming (GP) method is proposed to obtain interval weights from an interval comparison matrix, which can be either consistent or inconsistent. The interval weights are assumed to be normalized and can be derived from a GP model at a time. The proposed GP method is also applicable to crisp comparison matrices. Comparisons with an interval regression analysis method are also made. Three numerical examples including a multiple criteria decision-making problem with a hierarchical structure are examined to show the potential applications of the proposed GP method.

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